7,025 research outputs found
Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''
We consider a supersymmetric U(N) gauge theory with matter fields in the
adjoint, fundamental and anti-fundamental representations. As in the framework
which was put forward by Dijkgraaf and Vafa, this theory can be described by a
matrix model. We analyze this theory along the lines of [F. Cachazo, M.
Douglas, N.S. and E. Witten, ``Chiral Rings and Anomalies in Supersymmetric
Gauge Theory'' hep-th/0211170] and show the equivalence of the gauge theory and
the matrix model. In particular, the anomaly equations in the gauge theory is
identified with the loop equations in the matrix model.Comment: 14 page
Adding flavor to Dijkgraaf-Vafa
We study matrix models related via the correspondence of Dijkgraaf and Vafa
to supersymmetric gauge theories with matter in the fundamental. As in
flavorless examples, measure factors of the matrix integral reproduce
information about R-symmetry violation in the field theory. The models, studied
previously as models of open strings, exhibit a large-M phase transition as the
number of flavors is varied. This is the matrix model's manifestation of the
end of asymptotic freedom. Using the relation to a quiver gauge theory, we
extract the effective glueball superpotential and Seiberg-Witten curve from the
matrix model.Comment: 15 pages, harvmac; improved analysis of the healing of cuts, added
calculation of superpotential, improved referencing and notatio
Nuclear fission: The "onset of dissipation" from a microscopic point of view
Semi-analytical expressions are suggested for the temperature dependence of
those combinations of transport coefficients which govern the fission process.
This is based on experience with numerical calculations within the linear
response approach and the locally harmonic approximation. A reduced version of
the latter is seen to comply with Kramers' simplified picture of fission. It is
argued that for variable inertia his formula has to be generalized, as already
required by the need that for overdamped motion the inertia must not appear at
all. This situation may already occur above T=2 MeV, where the rate is
determined by the Smoluchowski equation. Consequently, comparison with
experimental results do not give information on the effective damping rate, as
often claimed, but on a special combination of local stiffnesses and the
friction coefficient calculated at the barrier.Comment: 31 pages, LaTex, 9 postscript figures; final, more concise version,
accepted for publication in PRC, with new arguments about the T-dependence of
the inertia; e-mail: [email protected]
Super Yang-Mills With Flavors From Large N_f Matrix Models
We consider the exact effective superpotential of N=1 U(N_c) super Yang-Mills
theory with N_f massive flavors an additional adjoint Higgs field. We use the
proposal of Dijkgraaf and Vafa to calculate the superpotential in terms of a
matrix model with a large number of flavors. We do this by gauging the flavor
symmetry and forcing this sector in a classical vacuum. This gives rise to a
2-matrix model of ADE type A_2, and large flavors. This approach allows us to
add an arbitrary polynomial tree level superpotential for the Higgs field, and
use strict large N methods in the matrix model.Comment: 17 p. LaTeX, 17 p. v2: ref added, typos corrected. v3: typos
corrected. v4: typos corrected, extended discussion on classical solution
Chiral Rings and Phases of Supersymmetric Gauge Theories
We solve for the expectation values of chiral operators in supersymmetric
U(N) gauge theories with matter in the adjoint, fundamental and
anti-fundamental representations. A simple geometric picture emerges involving
a description by a meromorphic one-form on a Riemann surface. The equations of
motion are equivalent to a condition on the integrality of periods of this
form. The solution indicates that all semiclassical phases with the same number
of U(1) factors are continuously connected.Comment: 55 page
One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
We discuss semiclassical expansions around a class of classical string
configurations lying in AdS_3 x S^1 using the Pohlmeyer-reduced from of the
AdS_5 x S^5 superstring theory. The Pohlmeyer reduction of the AdS_5 x S^5
superstring theory is a gauged Wess-Zumino-Witten model with an integrable
potential and two-dimensional fermionic fields. It was recently conjectured
that the quantum string partition function is equal to the quantum reduced
theory partition function. Continuing the previous paper (arXiv:0906.3800)
where arbitrary solutions in AdS_2 x S^2 and homogeneous solutions were
considered, we provide explicit demonstration of this conjecture at the
one-loop level for several string solutions in AdS_3 x S^1 embedded into AdS_5
x S^5. Quadratic fluctuations derived in the reduced theory for inhomogeneous
strings are equivalent to respective fluctuations found from the Nambu action
in the original string theory. We also show the equivalence of fluctuation
frequencies for homogeneous strings with both the orbital momentum and the
winding on a big circle of S^5.Comment: 45 pages, references added, minor correction
Tachyon Condensation on Noncommutative Torus
We discuss noncommutative solitons on a noncommutative torus and their
application to tachyon condensation. In the large B limit, they can be exactly
described by the Powers-Rieffel projection operators known in the mathematical
literature. The resulting soliton spectrum is consistent with T-duality and is
surprisingly interesting. It is shown that an instability arises for any
D-branes, leading to the decay into many smaller D-branes. This phenomenon is
the consequence of the fact that K-homology for type II von Neumann factor is
labeled by R.Comment: LaTeX, 17 pages, 1 figur
Chiral field theories, Konishi anomalies and matrix models
We study a chiral N=1, U(N) field theory in the context of the Dijkgraaf-Vafa
correspondence. Our model contains one adjoint, one conjugate symmetric and one
antisymmetric chiral multiplet, as well as eight fundamentals. We compute the
generalized Konishi anomalies and compare the chiral ring relations they induce
with the loop equations of the (intrinsically holomorphic) matrix model defined
by the tree-level superpotential of the field theory. Surprisingly, we find
that the matrix model is well-defined only if the number of flavors equals two!
Despite this mismatch, we show that the 1/N expansion of the loop equations
agrees with the generalized Konishi constraints. This indicates that the matrix
model - gauge theory correspondence should generally be modified when applied
to theories with net chirality. We also show that this chiral theory produces
the same gaugino superpotential as a nonchiral SO(N) model with a single
symmetric multiplet and a polynomial superpotential.Comment: 43 page
Thermal fission rate around super-normal phase transition
Using Langer's method, we discuss the temperature dependence of
nuclear fission width in the presence of dissipative environments. We introduce
a low cut-off frequency to the spectral density of the environmental
oscillators in order to mimic the pairing gap. It is shown that the decay width
rapidly decreases at the critical temperature, where the phase transition from
super to normal fluids takes place. Relation to the recently observed threshold
for the dissipative fission is discussed.Comment: 12 pages, Latex, Submitted to Physical Review C for publication, 3
Postscript figures are available by request from
[email protected]
Constructing Gauge Theory Geometries from Matrix Models
We use the matrix model -- gauge theory correspondence of Dijkgraaf and Vafa
in order to construct the geometry encoding the exact gaugino condensate
superpotential for the N=1 U(N) gauge theory with adjoint and symmetric or
anti-symmetric matter, broken by a tree level superpotential to a product
subgroup involving U(N_i) and SO(N_i) or Sp(N_i/2) factors. The relevant
geometry is encoded by a non-hyperelliptic Riemann surface, which we extract
from the exact loop equations. We also show that O(1/N) corrections can be
extracted from a logarithmic deformation of this surface. The loop equations
contain explicitly subleading terms of order 1/N, which encode information of
string theory on an orientifolded local quiver geometry.Comment: 52 page
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